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Bivariate Complex alpha-mu Statistics

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Autor(es):
de Bairros, Thiago A. M. ; Pereira, Pedro M. R. ; de Souza, Rausley A. A. ; Yacoub, Michel D.
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY; v. 71, n. 3, p. 5-pg., 2022-03-01.
Resumo

In this correspondence, new fundamental statistics for the alpha-mu fading model are derived. Broadly speaking, these involve two correlated complex alpha-mu variates with identical clustering parameters, but arbitrary nonlinearity and power parameters and nonuniform phase distribution. More specifically, the following statistics are derived: (i) exact joint bivariate probability density function (PDF) of quadrature processes; (ii) exact joint bivariate phase-envelope PDF; (iii) approximate bivariate phase PDF; (iv) exact phase correlation coefficient; (v) exact phase autocorrelation coefficient as a function of the fading environment parameters; (vi) phase power spectrum density; (vii) exact phase difference PDF; and (viii) approximate phase difference PDF. As a by-product, a useful mathematical identity is obtained. Strikingly, the approximate phase difference PDF encompasses, as a particular case, the von Mises or Tikhonov PDF. An application example considers a signal transmission over a slow-flat alpha-mu fading channel, and the pilot symbol assisted modulation as the channel estimation technique, assuming imperfect channel estimation. It is clearly seen that a uniform phase assumption depicts a pessimistic scenario. (AU)

Processo FAPESP: 21/06946-0 - Comunicações auxiliadas por superfícies inteligentes e reconfiguráveis para 6G e além
Beneficiário:Rausley Adriano Amaral de Souza
Modalidade de apoio: Auxílio à Pesquisa - Regular